扰乱还是停滞：全息共形场论中通往混沌的角动量势垒
Scrambling or Stalling: Angular Momentum Barriers to Chaos in Holographic CFTs
AI总结：
本文研究高温全息CFT中的量子混沌扰乱行为，推导出扰乱时间差与体粒子运动学的解析关系，并通过二维CFT的涂抹算符和OTOC计算加以验证，发现高维情形下角动量势垒会导致扰乱减慢甚至停止。
摘要：
扰乱是强耦合系统中量子混沌的一种诊断手段，并在黑洞动力学的全息描述中扮演核心角色。我们研究高温全息共形场论中的扰乱，重点关注与体描述中沿下落轨道和束缚轨道运动的粒子对偶的扰动。对于BTZ和AdS-Schwarzschild几何，我们推导出一个解析表达式，将扰乱时间的差异与粒子的运动学联系起来。我们通过构造产生具有所需运动学的体粒子的涂抹算符并计算乱序关联子（OTOC），将该结果与二维共形场论计算相匹配。对于更高维的全息共形场论，当对偶体粒子能量不足以克服角动量势垒时，扰乱会减慢并最终停止。
英文摘要：
Scrambling is a diagnostic of quantum chaos in strongly coupled systems, and plays a central role in the holographic description of black hole dynamics. We study scrambling in high-temperature holographic CFTs, with an emphasis on perturbations dual to particles on infalling and bound trajectories in the bulk description. For BTZ and AdS-Schwarzschild geometries, we derive an analytic expression relating the difference in scrambling times to the particles' kinematics. We match this to a 2d CFT computation by constructing the smeared operator that creates the bulk particle with the desired kinematics and calculating the out-of-time-ordered correlator (OTOC). For higher-dimensional holographic CFTs, the scrambling slows and eventually ceases when the dual bulk particle has insufficient energy to overcome the angular momentum barrier.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
